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Finding the Fourth Proportional to 12,434.12, 18,654.44 and 4,643

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Solution

The fourth proportional to 12,434.12, 18,654.44 and 4,643 is: 6,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.12 : 18,654.44 = 4,643 : x
  2. Step 2: Convert to fraction form
    12,434.12/18,654.44 = 4,643/x
  3. Step 3: Cross multiply
    12,434.12x = 18,654.44 × 4,643
  4. Step 4: Simplify right side
    12,434.12x = 86,612,564.92
  5. Step 5: Solve for x
    x = 86,612,564.92/12,434.12
  6. Step 6: Final answer
    x = 6,965.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.